[tex]1\frac{1}{6}[/tex] cups of cheese should be used for [tex]\frac{2}{3}[/tex] of the recipe.
Step-by-step explanation:
Given,
Quantity of cheese used in recipe = [tex]1\frac{3}{4}\ cups = \frac{7}{4}\ cups[/tex]
Recipe to made = [tex]\frac{2}{3}[/tex]
Quantity to use in [tex]\frac{2}{3}[/tex] of recipe = [tex]\frac{2}{3}\ of\ quantity\ required\ for\ full\ recipe[/tex]
Quantity to use = [tex]\frac{2}{3}*\frac{7}{4}[/tex]
Quantity to use = [tex]\frac{7}{6} = 1\frac{1}{6}\ cups[/tex]
[tex]1\frac{1}{6}[/tex] cups of cheese should be used for [tex]\frac{2}{3}[/tex] of the recipe.
Keywords: fraction, multiplication
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